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Finding the Third Proportional to 40,608 and 94,112

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Solution

The third proportional to 40,608 and 94,112 is: 218,111.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,608 : 94,112 = 94,112 : x
  2. Step 2: Convert to fraction form
    40,608/94,112 = 94,112/x
  3. Step 3: Cross multiply
    40,608x = 94,112 × 94,112
  4. Step 4: Simplify right side
    40,608x = 8,857,068,544
  5. Step 5: Solve for x
    x = 8,857,068,544/40,608
  6. Step 6: Final answer
    x = 218,111.42

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.